@article{7d64fdd2d38547298a328829659c140b,
title = "Finite simple groups with short Galois orbits on conjugacy classes",
abstract = "All finite simple groups are determined with the property that every Galois orbit on conjugacy classes has size at most 4. From this we list all finite simple groups G for which the normalized group of central units of the integral group ring ZG is an infinite cyclic group.",
keywords = "Finite simple group, Integral group ring",
author = "Victor Bovdi and Thomas Breuer and Attila Mar{\'o}ti",
note = "Funding Information: The work of the first author was supported by UAEU UPAR grant G00002160. The second author gratefully acknowledges support by the German Research Foundation (DFG) within the SFB-TRR 195 “Symbolic Tools in Mathematics and their Application”. The work of the third author on the project leading to this application has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No. 741420), was supported by the J{\'a}nos Bolyai Research Scholarship of the Hungarian Academy of Sciences and also by the National Research, Development and Innovation Office (NKFIH) Grant No. K115799. Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",
year = "2020",
month = feb,
day = "15",
doi = "10.1016/j.jalgebra.2019.10.024",
language = "English",
volume = "544",
pages = "151--169",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}